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MathNet 2016-part-04 — 184 problems (EN–VI) Question 158

Math Olympiad Vault · MathNet 2016-part-04 — 184 problems (EN–VI)

Question 158

Let $n \geq 4$ be a positive integer and there exist $n$ positive integers that are arranged on a circle such that:
- The product of each pair of two non-adjacent numbers is divisible by $2015 \cdot 2016$.
- The product of each pair of two adjacent numbers is not divisible by $2015 \cdot 2016$.
Find the maximum value of $n$.